Signal Extraction for a Class of Nonstationary Processes

Randall J. Swift

Abstract: In 1952, Cramér introduced a class of nonstationary processes. This broad class of processes contains the important harmonizable and stationary classes of processes. The Cramér class can have additional structure imposed upon it through Cesàro summability considerations. These refined Cramér classes, termed $(c,p)$-summable Cramér, have recently been considered by Swift 1997. This paper considers the problem of signal extraction for a process of the form $X(t)=Y(t)+N(t)$ where $Y(\cdot)$ and $N(\cdot)$ are $(c,p)$-summable Cramér.

Keywords: Harmonizable processes; Cramér processes; signal detection.

Classification (MSC2000): 60G12, 60G35.

Full text of the article:

• Compressed PostScript file (76 kilobytes)
• PDF file (152 kilobytes)